Find the equation of a line that passes through the points (4, 3) and (8,1)

 y= -1/2x + 5  

Step-by-step explanation:

We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.

The slope-intercept for is y=mx +b   where m is the slope and b is the y-intercept.

Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.

The y-coordinates are 3 and 1  

The x coordinates are 4 and 8.

3-1 = 2  

4-8 = -4  

2/-4=   -1/2  

The slope is -1/2  

We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .

3= -1/2(4) + b

3= -2 +  b

+2  +2

b= 5

The equation will be y= -1/2x + 5